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arXiv · 2012.08349

Local Central Limit Theorem for Multi-Group Curie-Weiss Models

Michael Fleermann·Werner Kirsch·Gabor Toth
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Abstract

We define a multi-group version of the mean-field spin model, also called Curie-Weiss model. It is known that, in the high temperature regime of this model, a central limit theorem holds for the vector of suitably scaled group magnetisations, that is the sum of spins belonging to each group. In this article, we prove a local central limit theorem for the group magnetisations in the high temperature regime.

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Michael Fleermann, Werner Kirsch, Gabor Toth. 2020-12-15. Local Central Limit Theorem for Multi-Group Curie-Weiss Models. https://doi.org/10.1007/s10959-021-01122-4

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